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Finding the Third Proportional to 418,134 and 903,332

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Solution

The third proportional to 418,134 and 903,332 is: 1,951,548.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,134 : 903,332 = 903,332 : x
  2. Step 2: Convert to fraction form
    418,134/903,332 = 903,332/x
  3. Step 3: Cross multiply
    418,134x = 903,332 × 903,332
  4. Step 4: Simplify right side
    418,134x = 816,008,702,224
  5. Step 5: Solve for x
    x = 816,008,702,224/418,134
  6. Step 6: Final answer
    x = 1,951,548.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.